Least Common Multiple of 677 and 685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 677 and 685 the smallest integer that is 463745 that is divisible by both numbers.

Least Common Multiple (LCM) of 677 and 685 is 463745.

LCM(677,685) = 463745

LCM of 677 and 685

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 677 and 685

LCM of 677 and 685 is 463745

Least common multiple can be found by multiplying the highest exponent prime factors of 677 and 685. First we will calculate the prime factors of 677 and 685.

Prime Factorization of 677


677 677
1

Prime factors of 677 are 677. Prime factorization of 677 in exponential form is:

677 = 6771

Prime Factorization of 685


5 685
137 137
1

Prime factors of 685 are 5,137. Prime factorization of 685 in exponential form is:

685 = 51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 677 and 685.

LCM(677,685) = 51×1371×6771
LCM(677,685) = 463745

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1, 677

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Least Common Multiple of 677 and 685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 677 and 685, than apply into the LCM equation.

GCF(677,685) = 1
LCM(677,685) = ( 677 × 685) / 1
LCM(677,685) = 463745 / 1
LCM(677,685) = 463745

Properties of LCM 677 and 685

(i) The LCM of 685 and 677 is associative

LCM of 677 and 685 = LCM of 685 and 677

Related Least Common Multiples of 677

Related Least Common Multiples of 685

Frequently Asked Questions on LCM of 677 and 685

1. What is the LCM of 677 and 685?

Answer: LCM of 677 and 685 is 463745.

2. What are the Factors of 677?

Answer: Factors of 677 are 1, 677. There are 2 integers that are factors of 677. The greatest factor of 677 is 677.

3. What are the Factors of 685?

Answer: Factors of 685 are 1, 5, 137, 685. There are 4 integers that are factors of 685. The greatest factor of 685 is 685.

4. How to Find the LCM of 677 and 685?

Answer:

Least Common Multiple of 677 and 685 = 463745

Step 1: Find the prime factorization of 677

677 = 677

Step 2: Find the prime factorization of 685

685 = 5 x 137

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 463745 = 5 x 137 x 677

Step 4: Therefore, the least common multiple of 677 and 685 is 463745.